ABSTRACT

This paper presents the element-stretching problem for Newtonian fluid by finite element methods (FEM) under the semi-implicit Taylor-Galerkin pressure correction principle. The assumptions of incompressible fluid, no gravitational effect, and temperature independence are used. The two-dimensional governing equations, in which the equations are nonlinear partial differential equations, are derived through the conservation of mass and momentum.

The configuration of mesh, which is elaborately and dominantly biased, can reflect true stretching behaviour. In the paper, the variation of velocities, pressure, stresses, shear rate and extension rate have showed up to Hencky strain () 1.92

The simulation programme has been created to compute the solutions, which utilize remeshing and interpolating techniques for increased accuracy of solutions. The results exhibit the same trend as the experimental solutions.

KEY WORD: Finite Element Method, Filament Stretching, Liquid Bridge